A minimal model for a slow pacemaking neuron

Conference: NDES 2012 - Nonlinear Dynamics of Electronic Systems
07/11/2012 - 07/13/2012 at Wolfenbüttel, Germany

Proceedings: NDES 2012

Pages: 4Language: englishTyp: PDF

Personal VDE Members are entitled to a 10% discount on this title

Zakharov, Denis (Istitute of Applied Physics RAS, 46 Ulyanov, Nizhny Novgorod 603950, Russia)
Kuznetsov, Alexey (Indiana University-Purdue University Indianapolis, 402 N. Blackford St., Indianapolis, IN 46202, USA)

Abstract—We have constructed a phenomenological model for slow pacemaking neurons. Many of these neurons also differentially respond to various types of stimulation. The model is based on FitzHugh-Nagumo (FHN) oscillator and implements a nonlinearity introduced by a current that depends on an ion concentration. The comparison with the original FHN oscillator has shown that the new nonlinear dependence allows for differentiating responses to various stimuli. We discuss implications of our results for a broad class of neurons.